MinT - Information on Result #1551861

Information on Result #1551861

Linear OOA(7⁶³, 154, F₇, 3, 29) (dual of [(154, 3), 399, 30]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(7⁶³, 154, F₇, 2, 29) (dual of [(154, 2), 245, 30]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(7⁶³, 156, F₇, 2, 29) (dual of [(156, 2), 249, 30]-NRT-code), using
- 7¹ times duplication [i] based on linear OOA(7⁶², 156, F₇, 2, 29) (dual of [(156, 2), 250, 30]-NRT-code), using
  - extracting embedded OOA [i] based on digital (33, 62, 156)-net over F₇, using
    - trace code for nets [i] based on digital (2, 31, 78)-net over F₄₉, using
      - net from sequence [i] based on digital (2, 77)-sequence over F₄₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, using
        sharp bound on the number of rational points on curves with genus 2 [i]

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.